Abstract
The problem of permutation flowshop scheduling is considered with the objective of minimizing the total flowtime. We present a constructive heuristic and two composite heuristics to solve the problem. The composite heuristics combine the simulated annealing method of Chakravarthy and Rajendran [Production Planning and Control 10 (1999)], the constructive heuristic of Nawaz et al. [Omega 11 (1983)] and the new heuristic. Computational analysis is carried out with the benchmark problems of Taillard [European Journal of Operational Research 64 (1993)]. The two composite heuristics produce better quality solutions than those produced by the composite heuristics of Liu and Reeves [European Journal of Operational Research 132 (2001)]. Statistical tests of significance are used to substantiate the improvement in solution quality.
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References
Rajendran C, Ziegler H (1997) An efficient heuristic for scheduling in a flowshop to minimize total weighted flowtime of jobs. Eur J Oper Res 103:129–138
Framinan JM, Leisten R, Ruiz-Usano R (2005) Comparison of heuristics for flow time minimization in permutation flow shop. Comput Oper Res 32:1237–1254
Nawaz ME, Enscore E, Ham I (1983) A heuristic algorithm for the m- machine, n-job flowshop sequencing problem. Omega 11:91–95
Rajendran C, Ziegler H (2004) Ant-colony algorithms for permutation flowshop scheduling to minimize makespan/total flowtime of jobs. Eur J Oper Res 155:426–438
Laha D, Chakraborty UK (2007) An efficient stochastic hybrid heuristic for flowshop scheduling. Engineering Applications of Artificial Intelligence 20:851–856
Chakraborty UK, Laha D (2007) An improved heuristic for permutation flowshop scheduling. Int J Inf Commun Technol 1:89–97
Gonzalez T, Sahni S (1978) Flow shop and job shop scheduling: complexity & approximation. Oper Res 26:36–52
Rajendran C, Chaudhuri D (1991) An efficient heuristic approach to the scheduling of jobs in a flowshop. Eur J Oper Res 61:318–325
Rajendran C (1993) Heuristic algorithm for scheduling in flowshop to minimize total flow time. Int J Prod Econ 29:65–73
Woo DS, Yim HS (1998) A heuristic algorithm for mean flow time objective in flowshop scheduling. Comput Oper Res 25:175–182
Liu J, Reeves CR (2001) Constructive and composite heuristics solution of the \( P||{\sum {C_{i} } } \) scheduling problem. Eur J Oper Res 132:439–452
Framinan JM, Leisten R (2003) An efficient constructive heuristic for flowtime minimization in permutation flowshops. Omega 31:311–317
Chakravarthy K, Rajendran C (1999) A heuristic for scheduling in a flowshop with the bicriteria of makespan and maximum tardiness minimization. Prod Plan Control 10:707–714
Wang C, Chu C, Proth JM (1997) Heuristic approaches for n/m/F/∑Ci scheduling problems. Eur J Oper Res 96:636–644
Ho JC (1995) Flowshop sequencing with mean flow time objective. Eur J Oper Res 81:571–578
Taillard E (1993) Benchmarks for basic scheduling problems. Eur J Oper Res 64:278–285
Kreyszig E (1972) Advanced engineering mathematics. John Wiley, New York
Taillard E (1990) Some efficient heuristic methods for the flow shop sequencing problem. Eur J Oper Res 47:65–74
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Laha, D., Chakraborty, U.K. An efficient heuristic approach to total flowtime minimization in permutation flowshop scheduling. Int J Adv Manuf Technol 38, 1018–1025 (2008). https://doi.org/10.1007/s00170-007-1156-z
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DOI: https://doi.org/10.1007/s00170-007-1156-z